### Problem Statement**8–1. Determine $ \bar{y} $ for the area shown in Figure P8–1.**### Diagram Description**Figure P8-1** is a geometric diagram that outlines a composite shape. It consists of two main rectangular areas with the following dimensions and placement:- The full outer rectangle has dimensions of 5 inches in width (horizontally from left to right) and 10 inches in height (vertically from bottom to top). - The height is divided as follows: a bottom part measuring 4 inches, a middle section of 4 inches, and a top part measuring 2 inches.- The inner rectangle (which will be subtracted from the area) is centrally located. - Its dimensions are: width 1 inch (horizontally) and height 4 inches (vertically). - It is positioned 2 inches from the left side of the outer rectangle and 2 inches from the top.Both $ x $ and $ y $ axes are drawn with the origin located at the bottom-left corner of the outer rectangle.##### Additional Notes:- The diagram includes various linear dimension labels to specify these distances, aiding in the understanding of the composite shape's distribution and balance.### Determination of $ \bar{y} $To find $ \bar{y} $, the centroid of the area, we consider the dimensions and positions of the entire shape and the inner subtracted area.

The provided section area is shown below.

Answered: 8-1. Determine y for the area shown in…

Science

Physics

8-1. Determine y for the area shown in Figure P8-1. y 2" 1" 2" 2" 4" 4" FIGURE P8-1 X

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

See similar textbooks

Similar questions

imedes Principle - 3400646 - View-only nces A A A ins: On 10 Review View EFE 相 === T Help Paragraph 1000 cm³ ET E T4 Search (Alt+Q) AaBbcc Normal 4. Assume the balloon is replaced by a 0.5 Kg piece of wood that has exactly the same volume (1000 cm³ or 0.001 m³ or 1000mL), as shown in Figure 2. A) What is the volume of water displaced by the piece of wood? (V=Vo) B) What is the mass of water displaced by the piece of wood? (p=m/v) Editor Suggestions: Showing W C) What is the weight of water displaced by the piece of wood? Method 1: Use (F+ =m+g) What is weight of the piece of wood? (F=m.g) AaBbcc No Spacing D) What is the weight of water displaced by the piece of wood? Method 2: Use (F-FB-PVE) Styles P Will the wood float or sink? Explain your answer. (compare F, and Fa AaBb Cc Heading 1 P
The shell is thin, but has a definite thickness. Calculate the (volume) density of the shell, in g/cm3. Here are the numbers: R = 13 cm M = 800 grams thickness = 0.3 mm
1- What’s the slope of Rs vs L2/L1? 2- What does the slope represent? 3- What’s the value of Rx?
2 Z 2. What is the smallest number of whole logs (density = 760 kg/m³, radius= 0.082 m, length = 2.82 m) that can be used to build a raft that will carry 4 people, each of whom has a mass of 76.5 kg? logs @ 2 W S X H дв command # 3 E D C $ 4 1332 R 20 F G Search or type URL 52 % 5 V T G MacBook Pro 6 B Y H & 7 N U 4 J 1 00 8 - M O ( 9 K O L 1332 jj1332 command P > : t ; { option [ + 11 ? I :- 11
The radius of Jupiter is about 69.0 × 103 km. The radius of the Sun is about 70.0 × 104 km. How many Jupiter volumes would fit inside the Sun's volume?
1. Consider the data sets below, determine if it is reasonable to assume that y is proportional to z. If it is, approximate the constant of proportionality. If it is not, describe why this assumption is not reasonable. 1 1.1 1.2 1.3 1.4 1.5 1.6 1.7 1. 1.2 1.44 1.69 1.96 2.25 2.56 2.89 2. Use dimensional analysis to derive an expression for the volume flow rate, q, in terms of r (the radius of the pipe), u (the viscosity of the fluid) and (the fall in pressure per unit length) dz dp LT L ML-T ML-T %23 19°C A O C
Some possibly useful numbers = 8.99 x 10° N-m²/C² €0 = 8.85 × 10-12C²/Nm² e = 1.6 × 10–19 C = 9.11 × 10-31kg mp = 1.67 x 10–27kg leV 1.6 x 10-19J %3D
4 decimal Use 9.8m/s^2 or 32.2 ft/s^2 for the value of your "g"
The Bernoiulli effect can have important consequences for the design of buildings. For example, Wind can blow aorund a skyscraper at remarkably high speed, creating low pressure. The higher atmospheric pressure in the still air inside the buildings can cause windowspanes that fell many stories to the sidewalk below a) Suppose a horizontal wind blows with a speed of 11.2 M/s outside a large pabe of plate glass with dimensions 4.00m x 1.50m Assume the density of the air to be constant at 1.20kg/m3 The air inside the building is at atmospheric pressure. What is the total force exerted by air on the windowpane? b) What if a sencond skyscraper is built nearby, the airspeed can be especially high where wind passes through the narrow separation between the buildings. Solve part (a) again with a wind speed of 22.4m/s, twice as high
Hi, please use the numbers that are provided in the problem to solve this for me please. Make sure you use 6.0 x 10^12 as written.
Iron has a density of 7.874 g/cm3, and the mass of a iron atom is 9.27 x 10-26 kg. (a) If the atoms are spherical and tightly packed, what is the volume of a iron atom? m³ (b) What is the distance between the centers of adjacent atoms? m
1. A bottle of beer contains 12 fluid ounces (fl oz). What is the volume inquarts (given that 1 qt = 32 fl oz).